Temperley-Lieb spin chains

• Grant number: 16/50023-5
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2016
• End date: June 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Agreement: University of Miami
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Antonio Lima Santos
• Grantee: Antonio Lima Santos
• Principal researcher abroad: Rafael Israel Nepomechie
• Institution abroad: University of Miami, United States
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 11/18729-1 - Gravitation and cosmology: structural questions and applications, AP.TEM

Abstract

Temperley-Lieb spin chains are a class of one-dimensional quantum mechanical models that are integrate. An exact algebraic Bethe Ansatz solution of these models will be proposed, and related problems will be investigated. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. New D-n+1((2)) K-matrices with quantum group symmetry. Journal of Physics A-Mathematical and Theoretical, v. 51, n. 39, SEP 28 2018. (16/50023-5, 17/02987-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. Universal Bethe ansatz solution for the Temperley-Lieb spin chain. Nuclear Physics B, v. 910, p. 910-928, SEP 2016. (14/20364-0, 16/50023-5, 14/00453-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.; RETORE, ANA L.. The integrable quantum group invariant A2n-1((2)) and Dn+1((2)) open spin chains. Nuclear Physics B, v. 924, p. 86-127, NOV 2017. (16/50023-5, 15/00025-9, 17/03072-3, 17/02987-8, 14/00453-8)

LIMA-SANTOS, ANTONIO; NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. A tale of two Bethe ansatze. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, APR 2018. (17/02987-8, 16/50023-5, 11/18729-1)

LIMA-SANTOS, A.. On the Temperley-Lieb Model. Journal of Statistical Physics, v. 165, n. 5, p. 953-969, DEC 2016. (16/50023-5, 11/18729-1)

LIMA-SANTOS, ANTONIO; NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. A tale of two Bethe ansatze. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 28-pg., 2018-04-01. (17/02987-8, 11/18729-1, 16/50023-5)